Search a number
-
+
21334002121410 = 23511375839299239
BaseRepresentation
bin1001101100111001101011…
…00111100011101011000010
32210112111210021210200201220
410312130311213203223002
510244014014020341120
6113212412201135510
74331221313662506
oct466346547435302
983474707720656
1021334002121410
116885777026310
12248680a18a596
13bb9a31958434
1453a7dd598306
1526ee2de28b40
hex1367359e3ac2

21334002121410 has 128 divisors (see below), whose sum is σ = 57375942451200. Its totient is φ = 5031220158720.

The previous prime is 21334002121409. The next prime is 21334002121429. The reversal of 21334002121410 is 1412120043312.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71144571 + ... + 71443809.

It is an arithmetic number, because the mean of its divisors is an integer number (448249550400).

Almost surely, 221334002121410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21334002121410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28687971225600).

21334002121410 is an abundant number, since it is smaller than the sum of its proper divisors (36041940329790).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21334002121410 is a wasteful number, since it uses less digits than its factorization.

21334002121410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305136.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21334002121410 its reverse (1412120043312), we get a palindrome (22746122164722).

It can be divided in two parts, 21334002 and 121410, that added together give a palindrome (21455412).

The spelling of 21334002121410 in words is "twenty-one trillion, three hundred thirty-four billion, two million, one hundred twenty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 5839 6105 11678 12210 17517 29195 35034 58390 64229 87585 128458 175170 192687 216043 299239 321145 385374 432086 598478 642290 648129 897717 963435 1080215 1296258 1496195 1795434 1926870 2160430 2376473 2992390 3240645 3291629 4488585 4752946 6481290 6583258 7129419 8977170 9874887 11071843 11882365 14258838 16458145 19749774 22143686 23764730 32916290 33215529 35647095 49374435 55359215 66431058 71294190 98748870 110718430 121790273 166077645 243580546 332155290 365370819 608951365 730741638 1217902730 1747256521 1826854095 3494513042 3653708190 5241769563 8736282605 10483539126 17472565210 19219821731 26208847815 38439643462 52417695630 57659465193 64648491277 96099108655 115318930386 129296982554 192198217310 193945473831 288297325965 323242456385 387890947662 576594651930 646484912770 711133404047 969727369155 1422266808094 1939454738310 2133400212141 3555667020235 4266800424282 7111334040470 10667001060705 21334002121410